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Finding the Third Proportional to 206,755 and 422,257

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Solution

The third proportional to 206,755 and 422,257 is: 862,378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,755 : 422,257 = 422,257 : x
  2. Step 2: Convert to fraction form
    206,755/422,257 = 422,257/x
  3. Step 3: Cross multiply
    206,755x = 422,257 × 422,257
  4. Step 4: Simplify right side
    206,755x = 178,300,974,049
  5. Step 5: Solve for x
    x = 178,300,974,049/206,755
  6. Step 6: Final answer
    x = 862,378.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.